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Sharp one-parameter geometric and quadratic means bounds for the Sándor–Yang means

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In the article, we present the best possible upper and lower bounds for the Sándor–Yang means in terms of the families of one-parameter geometric and quadratic means, and discover new bounds for the inverse tangent and inverse hyperbolic sine functions.

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Acknowledgements

This work is supported by the Philosophy and Social Sciences Planning Project of Zhejiang Province (Grant No. 20NDJC230YB).

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Authors and Affiliations

  1. Yiwu Industrial and Commercial College, Yiwu, 322000, China

    Bo Wang, Chen-Lan Luo & Shi-Hui Li

  2. Department of Mathematics, Huzhou University, Huzhou, 313000, China

    Yu-Ming Chu

  3. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, 410114, China

    Yu-Ming Chu

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  1. Bo Wang
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  2. Chen-Lan Luo
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  3. Shi-Hui Li
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  4. Yu-Ming Chu
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Wang, B., Luo, CL., Li, SH. et al. Sharp one-parameter geometric and quadratic means bounds for the Sándor–Yang means. RACSAM 114, 7 (2020). https://doi.org/10.1007/s13398-019-00734-0

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